Nelson
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    • en
      • Summary
      • Assertion functions
        • SUMMARY
        • assert
        • assert_checkerror
        • assert_isapprox
        • assert_isequal
        • assert_isfalse
        • assert_istrue
      • Audio playback
        • SUMMARY
        • audiodevinfo
        • audioinfo
        • audiometadata
        • audioplayer
        • audioplayer_delete
        • audioplayer_fieldnames
        • audioplayer_get
        • audioplayer_pause
        • audioplayer_set
        • audioplayer_stop
        • audioplayer_used
        • audioread
        • audiosupportedformats
        • audiowrite
        • beep
        • isplaying
        • lin2mu
        • mu2lin
        • play
        • playblocking
        • resume
        • sound
        • soundsc
        • stop
      • changelogs
        • CHANGELOG-0.1.x
        • CHANGELOG-0.2.x
        • CHANGELOG-0.3.x
        • CHANGELOG-0.4.x
        • CHANGELOG-0.5.x
        • Changelog
        • Changelog
        • Changelog
      • Characters encoding
        • SUMMARY
        • native2unicode
        • nativecharset
        • unicode2native
      • COM engine
        • COM examples
        • COM_delete
        • COM_fieldnames
        • COM_get
        • COM_invoke
        • COM_ismethod
        • COM_isprop
        • COM_methods
        • COM_range
        • COM_set
        • COM_used
        • COM_xlsfinfo
        • COM_xlsread
        • COM_xlswrite
        • SUMMARY
        • actxGetRunningServer
        • actxcontrollist
        • actxserver
        • actxserverlist
        • iscom
      • Console
        • SUMMARY
        • clc
        • input
        • terminal_size
      • Constructors functions
        • Inf
        • NaN
        • SUMMARY
        • diag
        • eps
        • eye
        • i
        • ones
        • pi
        • zeros
      • Control System functions
        • SUMMARY
        • abcdchk
        • acker
        • append
        • augstate
        • balreal
        • bdschur
        • bode
        • c2d
        • care
        • cloop
        • compreal
        • ctrb
        • ctrbf
        • d2c
        • damp
        • dare
        • dcgain
        • dlqr
        • dlyap
        • dsort
        • esort
        • evalfr
        • feedback
        • freqresp
        • gensig
        • gram
        • hsvd
        • impulse
        • initial
        • isct
        • isdt
        • islti
        • issiso
        • isstatic
        • kalman
        • lqe
        • lqed
        • lqr
        • lqry
        • lsim
        • lyap
        • minreal
        • nyquist
        • obsv
        • obsvf
        • ord2
        • padecoef
        • parallel
        • pole
        • series
        • ss
        • ss2tf
        • ssdata
        • ssdelete
        • ssselect
        • step
        • tf
        • tf2ss
        • tfdata
        • tzero
        • zero
      • Core
        • SUMMARY
        • banner
        • eval
        • evalc
        • evalin
        • execstr
        • exist
        • exit
        • feature
        • inputname
        • isunicodesupported
        • license
        • maxNumCompThreads
        • namelengthmax
        • nargin
        • narginchk
        • nargout
        • nargoutchk
        • nelsonroot
        • nfilename
        • pause
        • prefdir
        • quit
        • run
        • sha256
        • version
      • Data analysis
        • SUMMARY
        • conv
        • conv2
        • cumprod
        • cumsum
        • ismissing
        • issorted
        • max
        • min
        • prod
        • sort
        • sum
        • unique
      • Data structures
        • SUMMARY
        • cell
        • cell2mat
        • cell2struct
        • celldisp
        • cellfun
        • cellstr
        • fieldnames
        • getfield
        • iscellstr
        • isfield
        • namedargs2cell
        • num2cell
        • orderfields
        • rmfield
        • setfield
        • struct
        • struct2cell
      • Debugger functions
        • SUMMARY
        • dbstack
      • Dictionaries
        • SUMMARY
        • configureDictionary
        • dictionary
        • entries
        • insert
        • isConfigured
        • isKey
        • keyHash
        • keyMatch
        • keys
        • lookup
        • numEntries
        • remove
        • types
        • values
      • Display format
        • SUMMARY
        • disp
        • display
        • echo
        • format
        • formattedDisplayText
      • Double
        • SUMMARY
        • double
        • flintmax
        • realmax
        • realmin
      • Dynamic link
        • Build C/C++ code on the fly
        • Supported C/C++ compilers
        • libpointer datatype
        • SUMMARY
        • cmake
        • configuremingw
        • configuremsvc
        • dlcall
        • dlclose
        • dlgeneratecleaner
        • dlgenerategateway
        • dlgenerateloader
        • dlgeneratemake
        • dlgenerateunloader
        • dlgetnelsonincludes
        • dlgetnelsonlibraries
        • dllib_used
        • dllibinfo
        • dllibisloaded
        • dlmake
        • dlopen
        • dlsym
        • dlsym_delete
        • dlsym_used
        • findcmake
        • getdynlibext
        • havecompiler
        • libpointer
        • libpointer_delete
        • libpointer_isNull
        • libpointer_plus
        • libpointer_reshape
        • libpointer_setdatatype
        • libpointer_used
        • loadcompilerconf
        • removecompilerconf
        • vswhere
      • Elementary functions
        • SUMMARY
        • abs
        • allfinite
        • angle
        • base2dec
        • bernsteinMatrix
        • bin2dec
        • bin2num
        • blkdiag
        • cast
        • ceil
        • circshift
        • complex
        • conj
        • deal
        • dec2base
        • dec2bin
        • dec2hex
        • exp
        • factorial
        • filter
        • find
        • fix
        • flip
        • flipdim
        • fliplr
        • flipud
        • floor
        • hadamard
        • hankel
        • hex2dec
        • hilb
        • hypot
        • imag
        • ind2sub
        • invhilb
        • ipermute
        • isapprox
        • iscolumn
        • istriu
        • isequal
        • isequaln
        • isequalto
        • isfinite
        • isinf
        • ismatrix
        • isnan
        • isrow
        • isscalar
        • istril
        • istriu
        • isvector
        • length
        • linspace
        • log
        • log10
        • log1p
        • log2
        • logspace
        • magic
        • meshgrid
        • minus
        • mod
        • ndgrid
        • ndims
        • nextpow2
        • norm
        • normest
        • nthroot
        • num2bin
        • numel
        • permute
        • pinv
        • pow2
        • real
        • rem
        • repmat
        • reshape
        • rosser
        • rot90
        • round
        • shiftdim
        • sign
        • size
        • sqrt
        • squeeze
        • sub2ind
        • substruct
        • swapbytes
        • toeplitz
        • tril
        • triu
        • vander
        • wilkinson
      • Engine
        • SUMMARY
        • argv
        • executable
        • finish
        • getnelsonmode
        • isquietmode
        • System Requirements
        • #! shebang
        • startup
      • Error manager
        • MException
        • SUMMARY
        • error
        • getLastReport
        • lasterror
        • lastwarn
        • rethrow
        • throw
        • throwAsCaller
        • warning
      • Fortran to C
        • SUMMARY
        • f2c
      • FFTW
        • FFTW License
        • FFTWwrapper
        • SUMMARY
        • fft
        • fft2
        • fftn
        • fftshift
        • fftw
        • ifft
        • ifftn
        • ifftshift
      • File archiver functions
        • SUMMARY
        • unzip
        • zip
      • Files and folders functions
        • SUMMARY
        • cd
        • copyfile
        • diff_file
        • dir
        • fileparts
        • filesep
        • fullfile
        • fullpath
        • isdir
        • isfile
        • isfolder
        • ls
        • mkdir
        • pathsep
        • pwd
        • relativepath
        • rmdir
        • rmfile
        • tempdir
        • tempname
        • userdir
      • Function_handle functions
        • SUMMARY
        • Anonymous Functions
        • func2str
        • isfunction_handle
        • str2func
      • Functions manager
        • SUMMARY
        • addpath
        • builtin
        • clearfun
        • feval
        • inmem
        • isbuiltin
        • ismacro
        • ismex
        • macroargs
        • path
        • private functions
        • rehash
        • restoredefaultpath
        • rmpath
        • userpath
        • what
        • which
      • Geometry
        • SUMMARY
        • rotx
        • roty
        • rotz
      • Graphics functions
        • SUMMARY
        • abyss
        • ancestor
        • autumn
        • axes
        • axis
        • bar
        • bone
        • cla
        • clf
        • clim
        • close
        • colorbar
        • colormap
        • colstyle
        • contour
        • contour3
        • cool
        • copper
        • cylinder
        • drawnow
        • figure
        • fill
        • frame2im
        • gca
        • gcf
        • getframe
        • Managing Callback Interruptions in Nelson
        • gray
        • grid
        • groot
        • hggroup
        • hist
        • hold
        • hot
        • im2double
        • im2frame
        • image
        • imagesc
        • imread
        • imshow
        • imwrite
        • is2D
        • isValidGraphicsProperty
        • isgraphics
        • ishold
        • jet
        • legend
        • line
        • loglog
        • mesh
        • meshz
        • movie
        • newplot
        • pan
        • parula
        • patch
        • pcolor
        • pie
        • pink
        • plot
        • plot3
        • quiver
        • refresh
        • rgbplot
        • ribbon
        • rotate3d
        • saveas
        • scatter
        • semilogx
        • semilogy
        • sky
        • sphere
        • spring
        • spy
        • stairs
        • stem
        • subplot
        • summer
        • surf
        • surface
        • text
        • title
        • turbo
        • uicontrol
        • validatecolor
        • view
        • viridis
        • waitfor
        • waitforbuttonpress
        • waterfall
        • white
        • winter
        • xlabel
        • xlim
        • ylabel
        • ylim
        • zlabel
        • zlim
        • zoom
      • Graphics I/O functions
        • SUMMARY
        • copygraphics
        • imformats
        • imread
        • imwrite
        • saveas
      • Gui module
        • SUMMARY
        • commandhistory
        • errordlg
        • filebrowser
        • helpdlg
        • inserthtml
        • lookandfeel
        • msgbox
        • qt_verbose
        • questdlg
        • uigetdir
        • helpdlg
        • workspace
      • Handle
        • SUMMARY
        • delete
        • get
        • invoke
        • ismethod
        • isprop
        • isvalid
        • methods
        • properties
        • set
      • HDF5
        • SUMMARY
        • h5create
        • h5dump
        • h5ls
        • h5read
        • h5readatt
        • h5write
        • h5writeatt
        • isnh5file
        • loadnh5
        • savenh5
        • whonh5
        • whosnh5
      • Help browser functions
        • SUMMARY
        • doc
        • helpbrowser
      • Help tools functions
        • SUMMARY
        • buildhelp
        • buildhelpmd
        • buildhelpweb
        • docroot
        • headcomments
        • htmltopdf
        • markdown
        • xmldocbuild
        • xmldocchecker
        • xmldoctohelp
        • xmldoctohtml
        • xmldoctomd
      • History manager
        • SUMMARY
        • history
      • I18n functions
        • SUMMARY
        • gettext
        • i18nHelpers
        • poheader
      • Integers type
        • SUMMARY
        • int16
        • int32
        • int64
        • int8
        • intmax
        • intmin
        • uint16
        • uint32
        • uint64
        • uint8
      • Interpreter functions
        • SUMMARY
        • abort
        • break
        • continue
        • for
        • function
        • if
        • iskeyword
        • keyboard
        • max_recursion_depth
        • numeric types
        • parsefile
        • parsestring
        • switch
        • try
        • while
      • Inter Process Communication
        • SUMMARY
        • getpid
        • ipc
      • JavaScript Object Notation
        • SUMMARY
        • jsondecode
        • jsonencode
        • jsonprettyprint
      • Julia engine
        • SUMMARY
        • jlenv
        • jlrun
        • jlrunfile
        • Julia Nelson types
      • license
        • gpl-3.0
        • GNU LESSER GENERAL PUBLIC LICENSE
        • Nelson license:
      • Linear algebra
        • SUMMARY
        • balance
        • bandwidth
        • chol
        • cond
        • condeig
        • det
        • diff
        • eig
        • expm
        • gradient
        • inv
        • isbanded
        • ishermitian
        • issymmetric
        • kron
        • logm
        • lu
        • orth
        • planerot
        • rank
        • rcond
        • rref
        • rsf2csf
        • schur
        • sqrtm
        • subspace
        • svd
        • trace
        • vecnorm
      • Localization functions
        • SUMMARY
        • getavailablelanguages
        • getdefaultlanguage
        • getlanguage
        • setlanguage
      • Logical type functions
        • SUMMARY
        • false
        • logical
        • true
        • xor
      • MATIO
        • SUMMARY
        • ismatfile
        • loadmat
        • savemat
        • whomat
        • whosmat
      • Memory manager functions
        • SUMMARY
        • acquirevar
        • assignin
        • clear
        • global
        • isglobal
        • isvar
        • memory
        • persistent
        • varislock
        • varlock
        • varunlock
        • who
        • whos
      • MEX functions
        • SUMMARY
        • dlgeneratemexgateway
        • engClose
        • engEvalString
        • engGetVariable
        • engGetVisible
        • engOpen
        • engOpenSingleUse
        • engOutputBuffer
        • engPutVariable
        • engSetVisible
        • mex
        • mexAtExit
        • mexCallMATLAB
        • mexCallMATLABWithTrap
        • mexext
      • Modules manager
        • SUMMARY
        • addgateway
        • addmodule
        • gatewayinfo
        • getmodules
        • ismodule
        • module.json
        • modulepath
        • nmm
        • nmm_build_help
        • nmm_build_loader
        • removegateway
        • removemodule
        • requiremodule
        • semver
        • toolboxdir
        • usermodulesdir
      • Message Passing Interface
        • MPI_Allreduce
        • MPI_Barrier
        • MPI_Bcast
        • MPI_Comm_delete
        • MPI_Comm_get_name
        • MPI_Comm_object
        • MPI_Comm_rank
        • MPI_Comm_size
        • MPI_Comm_split
        • MPI_Comm_used
        • MPI_Finalize
        • MPI_Get_library_version
        • MPI_Get_processor_name
        • MPI_Get_version
        • MPI_Init
        • MPI_Initialized
        • MPI_Iprobe
        • MPI_Probe
        • MPI_Recv
        • MPI_Reduce
        • MPI_Send
        • MPI examples
        • MPI overview
        • SUMMARY
        • mpiexec
      • NIG
        • SUMMARY
        • nig
      • Operators
        • SUMMARY
        • all
        • and
        • any
        • bitand
        • bitor
        • bitxor
        • cat
        • colon
        • ctranspose
        • eq
        • ge
        • gt
        • horzcat
        • ismember
        • ldivide
        • le
        • lt
        • minus
        • mldivide
        • mpower
        • mrdivide
        • mtimes
        • ne
        • not
        • or
        • plus
        • power
        • rdivide
        • shortcutand
        • shortcutor
        • subsasgn
        • subsindex
        • subsref
        • mtimes
        • transpose
        • uminus
        • uplus
        • vertcat
      • OS functions
        • SUMMARY
        • cmdsep
        • computer
        • createGUID
        • getenv
        • hostname
        • ismac
        • ispc
        • isunix
        • searchenv
        • setenv
        • system
        • username
        • winopen
        • winqueryreg
      • Overloading
        • SUMMARY
        • overloading
      • Parallel
        • SUMMARY
        • afterAll
        • afterEach
        • backgroundPool
        • cancel
        • cancelAll
        • fetchNext
        • fetchOutputs
        • parfeval
        • wait
      • Polynomials
        • SUMMARY
        • deconv
        • poly
        • polyder
        • polyfit
        • polyint
        • polyval
        • polyvalm
        • roots
      • Profiling tools
        • SUMMARY
        • profile
        • profsave
      • Python engine
        • The power of calling Python from Nelson
        • How to install python package
        • Python Nelson types
        • Python operators
        • SUMMARY
        • pyargs
        • pyenv
        • pyrun
        • pyrunfile
      • QML engine
        • QObject_classname
        • QObject_findchildren
        • QObject_get
        • QObject_iswidgettype
        • QObject_iswindowtype
        • QObject_methodsignature
        • QObject_root
        • QObject_set
        • QObject_undefine
        • QObject_used
        • SUMMARY
        • nelsonObject
        • qml_addimportpath
        • qml_addpluginpath
        • qml_clearcomponentcache
        • qml_collectgarbage
        • qml_createqquickview
        • qml_demos
        • qml_evaluatefile
        • qml_evaluatestring
        • qml_importpathlist
        • qml_loadfile
        • qml_loadstring
        • qml_offlinestoragepath
        • qml_pluginpathlist
        • qml_setofflinestoragepath
        • qt_constant
        • qt_version
      • Random
        • SUMMARY
        • rand
        • randn
        • randperm
        • rng
      • Signal Processing
        • SUMMARY
        • bartlett
        • blackman
        • db2mag
        • db2pow
        • filter2
        • hamming
        • hann
        • mag2db
        • pow2db
        • sinc
        • xcorr2
        • zp2tf
      • Single type
        • SUMMARY
        • single
      • SIO client
        • SUMMARY
        • doc
        • sioemit
        • siogetvariable
      • Subroutine Library In COntrol Theory
        • SLICOT License
        • SUMMARY
        • slicot_ab01od
        • slicot_ab04md
        • slicot_ab07nd
        • slicot_ab08nd
        • slicot_ag08bd
        • slicot_mb02md
        • slicot_mb03od
        • slicot_mb03pd
        • slicot_mb03rd
        • slicot_mb04gd
        • slicot_mb04md
        • slicot_mb05od
        • slicot_mc01td
        • slicot_sb01bd
        • slicot_sb02od
        • slicot_sb03md
        • slicot_sb03od
        • slicot_sb04md
        • slicot_sb04qd
        • slicot_sb10jd
        • slicot_sg02ad
        • slicot_tb01id
        • slicot_tg01ad
      • Sparse type
        • IJV
        • SUMMARY
        • full
        • nnz
        • nzmax
        • sparse
        • speye
        • spones
      • Special functions
        • SUMMARY
        • betainc
        • cross
        • dot
        • factor
        • gamma
        • gammaln
        • gcd
        • interp1
        • peaks
        • primes
      • Spreadsheet
        • SUMMARY
        • csvread
        • csvwrite
        • detectImportOptions
        • dlmread
        • dlmwrite
        • readcell
        • readmatrix
        • readtable
        • writecell
        • writematrix
        • writetable
      • Statistics
        • SUMMARY
        • corrcoef
        • cov
        • mean
        • normpdf
        • var
      • Stream manager
        • SUMMARY
        • diary
        • fclose
        • feof
        • ferror
        • fgetl
        • fgets
        • fileread
        • filewrite
        • fopen
        • fprintf
        • fread
        • frewind
        • fscanf
        • fseek
        • fsize
        • ftell
        • fwrite
        • load
        • save
        • sscanf
      • String type
        • SUMMARY
        • append
        • blanks
        • char
        • contains
        • convertCharsToStrings
        • convertStringsToChars
        • count
        • deblank
        • endsWith
        • int2str
        • isStringScalar
        • isletter
        • isspace
        • join
        • mat2str
        • matches
        • newline
        • num2str
        • replace
        • sprintf
        • startsWith
        • str2double
        • strcat
        • strcmp
        • strcmpi
        • strfind
        • string
        • strings
        • strjust
        • strlength
        • strncmp
        • strncmpi
        • strrep
        • strtrim
        • tolower
        • toupper
      • Tables
        • Accessing and Manipulating Tables in Nelson
        • Direct computation with Table
        • Read/Write table to files
        • SUMMARY
        • array2table
        • cell2table
        • head
        • height
        • istable
        • removevars
        • renamevars
        • struct2table
        • table
        • table2array
        • table2cell
        • table2struct
        • tail
        • width
      • Tests manager
        • SUMMARY
        • test_makeref
        • test_run
        • skip_testsuite
      • Text editor
        • SUMMARY
        • edit
        • editor
        • smartindent
      • Time functions
        • SUMMARY
        • addtodate
        • calendar
        • clock
        • cputime
        • date
        • datenum
        • datestr
        • datevec
        • eomday
        • etime
        • hour
        • leapyear
        • minute
        • now
        • second
        • sleep
        • tic
        • time
        • timeit
        • toc
        • weekday
      • Trigonometric functions
        • SUMMARY
        • acos
        • acosd
        • acosh
        • acot
        • acotd
        • acoth
        • acsc
        • acscd
        • acsch
        • asec
        • asecd
        • asech
        • asin
        • asind
        • asinh
        • atan
        • atan2
        • atan2d
        • atand
        • atanh
        • cart2pol
        • cart2sph
        • cos
        • cosd
        • cosh
        • cosm
        • cospi
        • cot
        • cotd
        • coth
        • csc
        • cscd
        • csch
        • deg2rad
        • pol2cart
        • rad2deg
        • sec
        • secd
        • sech
        • sin
        • sind
        • sinh
        • sinm
        • sinpi
        • sph2cart
        • tan
        • tand
        • tanh
        • tanm
      • Types module
        • SUMMARY
        • class
        • isa
        • iscell
        • ischar
        • isclass
        • isdouble
        • isempty
        • isfloat
        • ishandle
        • isint16
        • isint32
        • isint64
        • isint8
        • isinteger
        • islogical
        • isnumeric
        • isobject
        • isreal
        • issingle
        • issparse
        • isstring
        • isstruct
        • isuint16
        • isuint32
        • isuint64
        • isuint8
        • isvarname
      • Validators
        • SUMMARY
        • mustBeA
        • mustBeColumn
        • mustBeFile
        • mustBeFinite
        • mustBeFloat
        • mustBeFolder
        • mustBeGreaterThan
        • mustBeGreaterThanOrEqual
        • mustBeInRange
        • mustBeInteger
        • mustBeLessThan
        • mustBeLessThanOrEqual
        • mustBeLogical
        • mustBeLogicalScalar
        • mustBeMatrix
        • mustBeMember
        • mustBeNegative
        • mustBeNonNan
        • mustBeNonSparse
        • mustBeNonZero
        • mustBeNonempty
        • mustBeNonmissing
        • mustBeNonnegative
        • mustBeNonpositive
        • mustBeNonzeroLengthText
        • mustBeNumeric
        • mustBeNumericOrLogical
        • mustBePositive
        • mustBeReal
        • mustBeRow
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Linear algebra

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Linear algebra

Description

linear algebra functions

  • - Diagonal scaling to improve eigenvalue accuracy.

  • - Lower and upper matrix bandwidth.

  • - Cholesky factorization.

  • - Condition number for inversion.

  • - Condition number with respect to eigenvalues.

  • - Matrix determinant.

  • - Differences and approximate derivatives.

  • - Eigenvalues and eigenvectors.

  • - Computes the matrix exponential of a square matrix.

  • - Numerical gradient.

  • - Matrix inverse.

  • - Determine if matrix is within specific bandwidth.

  • - Computes if matrix is hermitian or skew-hermitian.

  • - Computes if matrix is symmetric.

  • - Kronecker tensor product.

  • - Computes the matrix logarithm of a square matrix.

  • - LU matrix factorization.

  • - Range space of a matrix.

  • - Givens plane rotation.

  • - Rank of matrix.

  • - Inverse condition number.

  • - Gauss-Jordan elimination.

  • - Convert real Schur form to complex Schur form.

  • - Schur decomposition.

  • - Computes the matrix square root of a square matrix.

  • - Angle between two subspaces.

  • - Singular Value Decomposition.

  • - Matrix trace.

  • - Vector-wise norm.

balance
bandwidth
chol
cond
condeig
det
diff
eig
expm
gradient
inv
isbanded
ishermitian
issymmetric
kron
logm
lu
orth
planerot
rank
rcond
rref
rsf2csf
schur
sqrtm
subspace
svd
trace
vecnorm